The regularity of monotone transport maps plays an important role in several applications to PDE and geometry. Unfortunately, the classical statements on this subject are restricted to the case...
Publications
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Wednesday, 20 February, 2019
arXiv:1902.07621
Friday, 15 February, 2019
We apply numerical conformal bootstrap techniques to the four-point function of a Weyl spinor in 4d non-supersymmetric CFTs. We find universal bounds on operator dimensions and OPE coefficients...
arXiv:1902.05969
Friday, 15 February, 2019
We classify effective field theory (EFT) deformations of the Standard Model (SM) according to the analyticity property of the Lagrangian as a function of the Higgs doublet H. Our distinction in...
arXiv:1902.05936
Thursday, 14 February, 2019
We study irreducible holomorphic symplectic manifolds deformation equivalent to Hilbert schemes of points on a K3 surface and admitting a non-symplectic involution. We classify the possible...
arXiv:1902.05397
Wednesday, 13 February, 2019
We prove that the E8 root lattice and the Leech lattice are universally optimal among point configurations in Euclidean spaces of dimensions 8 and 24, respectively. In other words,...
arXiv:1902.05438
Monday, 11 February, 2019
This is a sequel to the paper \cite{MO-mw} which identified maximally writhed algebraic links in $\rp^3$ and classified them topologically. In this paper we prove that all maximally writhed...
arXiv:1902.03910
Friday, 8 February, 2019
We investigate the homogeneous Dirichlet problem for the Fast Diffusion Equation u_t=\Delta u^m, posed in a smooth bounded domain \Omega\subset \mathbb{R}^N, in the exponent range m_s=(N-2)_+/(N...
arXiv:1902.03189
Friday, 8 February, 2019
We study the size of the near-critical window for Bernoulli percolation on \mathbb Z^d. More precisely, we use a quantitative Grimmett-Marstrand theorem to prove that the correlation length,...
arXiv:1902.03207
Saturday, 26 January, 2019
We introduce two Diophantine conditions on rotation numbers of interval exchange maps (i.e.m) and translation surfaces: the \emph{absolute Roth type condition} is a weakening of the notion of...
arXiv:1901.09191
Thursday, 24 January, 2019
The study of crossing probabilities - i.e. probabilities of existence of paths crossing rectangles - has been at the heart of the theory of two-dimensional percolation since its beginning. They...
arXiv:1901.08294
Wednesday, 23 January, 2019
We analyse the Weak Gravity Conjecture for chiral four-dimensional F-theory compactifications with N=1 supersymmetry. Extending our previous work on nearly tensionless heterotic strings in six...
arXiv:1901.08065
Sunday, 30 December, 2018
We consider a 10-dimensional family of Lehn-Lehn-Sorger-van Straten hyperkähler eightfolds which have a non-symplectic automorphism of order 3. Using the theory of finite-dimensional motives, we...
arXiv:1812.11554